Show the Proof

import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof

	step type	requirements	statement
0	instantiation	1, 2, 3	⊢
	: , : , :
1	reference	4	⊢
2	instantiation	4, 5, 6	⊢
	: , : , :
3	instantiation	7, 8	⊢
	:
4	axiom		⊢
	proveit.logic.equality.equals_transitivity
5	instantiation	10, 9	⊢
	: , : , :
6	instantiation	10, 11	⊢
	: , : , :
7	axiom		⊢
	proveit.logic.booleans.negation.negation_elim
8	instantiation	12, 13	⊢
	: , :
9	assumption		⊢
10	axiom		⊢
	proveit.logic.equality.substitution
11	instantiation	30, 14, 15	⊢
	: , : , :
12	theorem		⊢
	proveit.logic.equality.unfold_not_equals
13	instantiation	16, 51, 17, 18	⊢
	: , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_1
15	instantiation	36, 19, 20	⊢
	: , :
16	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
17	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
18	instantiation	21, 42, 22, 23, 24*, 25*	⊢
	: , : , :
19	instantiation	49, 41, 26	⊢
	: , : , :
20	instantiation	49, 41, 27	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
23	instantiation	28, 29	⊢
	:
24	instantiation	30, 31, 32	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_2
26	instantiation	49, 45, 33	⊢
	: , : , :
27	instantiation	49, 45, 34	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
29	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
30	theorem		⊢
	proveit.logic.equality.sub_right_side_into
31	instantiation	35, 37	⊢
	:
32	instantiation	36, 37, 38	⊢
	: , :
33	instantiation	49, 47, 39	⊢
	: , : , :
34	instantiation	49, 47, 40	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.addition.elim_zero_right
36	theorem		⊢
	proveit.numbers.addition.commutation
37	instantiation	49, 41, 42	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
39	instantiation	49, 50, 43	⊢
	: , : , :
40	instantiation	49, 50, 44	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
42	instantiation	49, 45, 46	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
45	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
46	instantiation	49, 47, 48	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
48	instantiation	49, 50, 51	⊢
	: , : , :
49	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
50	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
51	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements